Limit Continuity And Differentiability Ques 33
- The function $f(x)=1+|\sin x|$ is
(1986, 2M)
(a) continuous no where
(b) continuous everywhere
(c) differentiable at $x=0$
(d) not differentiable at infinite number of points
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Answer:
Correct Answer: 33.(b,d)
Solution: (b,d) We know that, $f(x)=1+|\sin x|$ could be plotted as,
(1) $y=\sin x$
(2) $y=|\sin x|$
(3) $ y=1+|\sin x| $
Clearly, $y=1+|\sin x|$ is continuous for all $x$, but not differentiable at infinite number of points..
BETA
